Finite Frequency Approach for H∞ model reduction of 2D continuous systems

Abderrahim El-Amrani,Abdel Aitouche,Abdelaziz Hmamed,Ismail Boumhidi,Ahmed El Hajjaji

doi:10.1109/med.2019.8798569

Finite Frequency Approach for H∞ model reduction of 2D continuous systems

Abderrahim El-Amrani, Abdel Aitouche + Show 3 more

https://doi.org/10.1109/med.2019.8798569

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Publication Date: Jul 1, 2019

Citations: 24

Affiliation: Sidi Mohamed Ben Abdellah University, University of Picardie Jules Verne

#Finite Frequency Range #Finite Frequency + Show 8 more

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Abstract

This paper considers the problem of H∞ model reduction problem with finite frequency (FF) ranges of the input vector for two-dimensional (2D) continuous systems. Given an asymptotically stable system, the main objective is to find a stable reduced-order model such that the error of the transfer functions between the original system and the reduced-order one is bounded over a FF range. Using the well known generalized Kalman Yakubovich Popov (gKYP) Lemma and the Finsler's Lemma, sufficient conditions for the existence of H∞ model reduction for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is illustrated by a numerical example.

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